10.5: Eliminating the Parameter

To get a set of equations with three variables (usually x, y, and t) into a form where we can graph it, we have to follow these steps:
1. solve for t in one equation
2. Substitute into 2nd equation
3. Simplify and get rectangular equation (in form that we can graph in)
4. Graph using rules of conic sections (identify center, identify vertices, etc.)

Note that the two parametric equations will be given to you, usually in the form x=__ and y=__

Example problem:

Math joke of the day:
Q: How do we know that the following fractions are in Europe? A/C, X/C and W/C ?  
A: Because their numerators are all over C's